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Finding the Fourth Proportional to 146,738,952.20, 220,108,428.30 and 146,738,952.20

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Solution

The fourth proportional to 146,738,952.20, 220,108,428.30 and 146,738,952.20 is: 220,108,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,738,952.20 : 220,108,428.30 = 146,738,952.20 : x
  2. Step 2: Convert to fraction form
    146,738,952.20/220,108,428.30 = 146,738,952.20/x
  3. Step 3: Cross multiply
    146,738,952.20x = 220,108,428.30 × 146,738,952.20
  4. Step 4: Simplify right side
    146,738,952.20x = 32,298,480,139,130,828
  5. Step 5: Solve for x
    x = 32,298,480,139,130,828/146,738,952.20
  6. Step 6: Final answer
    x = 220,108,428.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.